Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation
Joint Authors
Wang, Minghui
Ling, Sitao
Jia, Zhigang
Zhao, Meixiang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The solvability theory of an important self-adjoint polynomial matrix equation is presented, including the boundary of its Hermitian positive definite (HPD) solution and some sufficient conditions under which the (unique or maximal) HPD solution exists.
The algebraic perturbation analysis is also given with respect to the perturbation of coefficient matrices.
An efficient general iterative algorithm for the maximal or unique HPD solution is designed and tested by numerical experiments.
American Psychological Association (APA)
Jia, Zhigang& Zhao, Meixiang& Wang, Minghui& Ling, Sitao. 2014. Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-490086
Modern Language Association (MLA)
Jia, Zhigang…[et al.]. Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-490086
American Medical Association (AMA)
Jia, Zhigang& Zhao, Meixiang& Wang, Minghui& Ling, Sitao. Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-490086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490086
